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Finding the Fourth Proportional to 502,687.32, 753,794.10 and 182,613.49

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Solution

The fourth proportional to 502,687.32, 753,794.10 and 182,613.49 is: 273,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,687.32 : 753,794.10 = 182,613.49 : x
  2. Step 2: Convert to fraction form
    502,687.32/753,794.10 = 182,613.49/x
  3. Step 3: Cross multiply
    502,687.32x = 753,794.10 × 182,613.49
  4. Step 4: Simplify right side
    502,687.32x = 137,652,969,457.92
  5. Step 5: Solve for x
    x = 137,652,969,457.92/502,687.32
  6. Step 6: Final answer
    x = 273,834.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.